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Finding the Third Proportional to 41,472,288 and 90,432,864

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Solution

The third proportional to 41,472,288 and 90,432,864 is: 197,194,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472,288 : 90,432,864 = 90,432,864 : x
  2. Step 2: Convert to fraction form
    41,472,288/90,432,864 = 90,432,864/x
  3. Step 3: Cross multiply
    41,472,288x = 90,432,864 × 90,432,864
  4. Step 4: Simplify right side
    41,472,288x = 8,178,102,891,242,496
  5. Step 5: Solve for x
    x = 8,178,102,891,242,496/41,472,288
  6. Step 6: Final answer
    x = 197,194,398.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.